In 2-dimensions, the answer is No. Unless the x-axis is counted as having an infinite number of intercepts with itself.
In more than 2-dimensions, the answer is Yes.
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Two lines that intersect at a right angle are perpendicular.
Unless they are the exact same lines, no. Parallel lines do not touch. If two lines have the same intercept value, they share a point, and therefore touch.
Knowing that they have the same y-intercept, and knowing nothing else, the only thing you can say about the two lines is that they have the same y-intercept. That fact doesn't tell you anything else about them.
Coincident lines are essentially two linear functions whose graphs are the same; therefore, the two lines will have the same slope and the same y-intercept. When graphed, the lines will be one on top of the other.
No because two lines with the same slope but with different y intercepts are parallel lines. Perpendicular lines meet each other at right angles.